Average Error: 0.0 → 0.0
Time: 1.9s
Precision: 64
Internal Precision: 384
\[re \cdot im + im \cdot re\]
↓
\[re \cdot \left(im + im\right)\]

Error

Bits error versus re

Bits error versus im

Derivation

  1. Initial program 0.0

    \[re \cdot im + im \cdot re\]

  2. Applied simplify0.0

    \[\leadsto \color{blue}{re \cdot \left(im + im\right)}\]

Runtime

Time bar (total: 1.9s)Debug logProfile

herbie shell --seed '#(1070131407 1246090267 3027482374 2150728003 2026520792 2347815650)' 
(FPCore (re im)
  :name "math.square on complex, imaginary part"
  (+ (* re im) (* im re)))